MCQOPTIONS
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MCQOPTIONS
This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find \(\int_{0}^{\frac{\pi}{2}} cos^3(x).cos(2x)dx\). |
| A. | 0 |
| B. | 5 |
| C. | 87 |
| D. | -16⁄105 |
| Answer» E. | |
| 2. |
Find \(\int_{-\infty}^{0}x^5.e^x dx\). |
| A. | 1 |
| B. | 199 |
| C. | -5! |
| D. | 5! |
| Answer» D. 5! | |
| 3. |
Find \(\int_{0}^{\frac{\pi}{4}} x^4.sin(x)dx\). |
| A. | -1 |
| B. | 1 |
| C. | 0 |
| D. | 4((π⁄2)3 – 3π + 1) |
| Answer» C. 0 | |
| 4. |
Find \(\int_1^{\sqrt{2}} (x^{\frac{8}{5}}-\frac{1}{x^{\frac{2}{5}}})^{\frac{5}{2}}dx\). |
| A. | -1 |
| B. | 1 |
| C. | 0 |
| D. | 1⁄5 – 1⁄3 + 1⁄1 – π⁄4 |
| Answer» E. | |
| 5. |
Find the value of \(\int_{0}^{\frac{\pi}{2}} cos^{11}(x).sin^9(x)\, dx\). |
| A. | 1⁄10! |
| B. | 5!6!⁄11! |
| C. | 10!⁄5!6! |
| D. | 0 |
| Answer» C. 10!⁄5!6! | |
| 6. |
Find \(\int_{0}^{\frac{\pi}{4}} tan^3(x)dx\). |
| A. | 0 |
| B. | 1 |
| C. | -1 |
| D. | None of the mentioned |
| Answer» C. -1 | |
| 7. |
Find \(\int_{0}^{\frac{\pi}{2}} sin^{10}(x)cos(x)dx\). |
| A. | 1 |
| B. | 0 |
| C. | \(\frac{13\pi}{1098}\) |
| D. | \(\frac{21\pi}{2048}\) |
| Answer» E. | |
| 8. |
Find \(\int_{0}^{\frac{\pi}{2}} sin^6(x)dx\). |
| A. | 0 |
| B. | π⁄8 |
| C. | π⁄4 |
| D. | \(\frac{15\pi}{96}\) |
| Answer» E. | |